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If x is a positive integer, is the remainder 0 when 3x + 1 is divided by 10?
(1) x = 4n + 2, where n is a positive integer.
(2) x > 4
(1) x = 4n + 2, where n is a positive integer.
(2) x > 4
- a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
- b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
- c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
- d)EACH statement ALONE is sufficient to answer the question asked
- e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
If x is a positive integer, is the remainder 0 when3x + 1 is divided b...
Statement (1): x = 4n + 2
We are given that x can be expressed as 4n + 2, where n is a positive integer.
Substituting this expression into 3x + 1, we have:
3(4n + 2) + 1 = 12n + 6 + 1 = 12n + 7
3(4n + 2) + 1 = 12n + 6 + 1 = 12n + 7
To determine if the remainder is 0 when 3x + 1 is divided by 10, we need to check if 12n + 7 is divisible by 10.
If we take various values of n, we can see that the value of 12n + 7 will not be divisible by 10. For example, when n = 1, 12n + 7 = 19, which is not divisible by 10.
Therefore, statement (1) alone is sufficient to determine that the remainder is not 0 when 3x + 1 is divided by 10.
Statement (2): x > 4
This statement tells us that x is greater than 4. However, it does not provide any information about the divisibility of 3x + 1 by 10. Without knowing the specific value of x, we cannot determine the remainder. Statement (2) alone is not sufficient to answer the question.
Since statement (1) alone is sufficient to answer the question, but statement (2) alone is not, the answer is (A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
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If x is a positive integer, is the remainder 0 when3x + 1 is divided by 10?(1) x = 4n + 2, where n is a positive integer.(2) x > 4a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?
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If x is a positive integer, is the remainder 0 when3x + 1 is divided by 10?(1) x = 4n + 2, where n is a positive integer.(2) x > 4a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If x is a positive integer, is the remainder 0 when3x + 1 is divided by 10?(1) x = 4n + 2, where n is a positive integer.(2) x > 4a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x is a positive integer, is the remainder 0 when3x + 1 is divided by 10?(1) x = 4n + 2, where n is a positive integer.(2) x > 4a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?.
If x is a positive integer, is the remainder 0 when3x + 1 is divided by 10?(1) x = 4n + 2, where n is a positive integer.(2) x > 4a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If x is a positive integer, is the remainder 0 when3x + 1 is divided by 10?(1) x = 4n + 2, where n is a positive integer.(2) x > 4a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x is a positive integer, is the remainder 0 when3x + 1 is divided by 10?(1) x = 4n + 2, where n is a positive integer.(2) x > 4a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?.
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